# Biparametric persistence for smooth filtrations

@inproceedings{MishalAssifP2021BiparametricPF, title={Biparametric persistence for smooth filtrations}, author={K. MishalAssifP. and Yuliy M. Baryshnikov}, year={2021} }

The goal of this note is to define biparametric persistence diagrams for smooth generic mappings h = (f,g) : M → V ∼ = R for smooth compact manifoldM. Existing approaches to multivariate persistence are mostly centered on the workaround of absence of reasonable algebraic theories for quiver representations for lattices of rank 2 or higher, or similar artificial obstacles. We approach the problem from the Whitney theory perspective, similar to how single parameter persistence can be viewed…

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